John is making a card game. In solitaire mode, John always completes the game in 15 turns. On average, John scores 60 points.

John decides to make a virtual opponent called ROBI. On one card, he writes 11 possible results. After each of his turns, he rolls 2 six-sided dice for ROBI. The total number of the 2 dice indicates 1 of the 11 possible results that ROBI gets per turn (2-12).

John finishes the game in 15 turns.
Therefore ROBI also finishes the game in 15 turns.

What 11 values on the ROBI card allow John to win 25% of the time?
What 11 values on the ROBI card allow John to win 35% of the time?
What 11 values on the ROBI card allow John to win 50% of the time?
What 11 values on the ROBI card allow John to win 60% of the time?

Here is an example test set of 11 values:

DICE ROLL ------------------------- RESULT
   2 --------------------------------------- 2
   3 --------------------------------------- 3
   4 --------------------------------------- 4
   5 --------------------------------------- 5
   6 --------------------------------------- 4
   7 --------------------------------------- 4
   8 --------------------------------------- 5
   9 --------------------------------------- 5
   10 -------------------------------------- 6
   11 -------------------------------------- 5
   12 -------------------------------------- 3

Note: I’ll be testing your 4 sets of 11 values with playtesting in an actual card game.